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Ostrovityanka [42]
3 years ago
11

Will give extra points​

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0

Answer: what is this again?

Step-by-step explanation:

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A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine w
Alenkinab [10]

Answer:

The diagonals of the polygon ABCD bisect each other

Step-by-step explanation:

The given vertices of the polygon are;

A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1)

Given that the vertices of the polygon in clockwise order from the top left corner are ABCD, we have the diagonals as AC and DB

By the midpoint formula, we have;

(x_m , \ y_m) = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )

Where;

(x_m , \ y_m) = The midpoint coordinates

Therefore, the midpoint of diagonal AC = \left (\dfrac{1 + (-1)}{2} , \ \dfrac{4 + (-4)}{2} \right ) = (0, 0)

The midpoint  of diagonal DB = \left (\dfrac{(-4) +4}{2} , \ \dfrac{1 + (-1)}{2} \right ) = (0, 0)

Therefore, given that the coordinates of the location of the midpoint of the diagonals AC and DB is the same, the diagonals bisect each other

Each diagonal passes through the midpoint of the other diagonal.

3 0
3 years ago
Diana ran a total of 9 3/4 miles over three days. She runs the same distance each day. How many miles did Diana run each day?
Natasha2012 [34]

Answer:

3 1/4

Step-by-step explanation:

4 0
3 years ago
(-8,-2) and (-4,6)<br>what does y =​
larisa86 [58]
Do you have an equation to go with that?
6 0
3 years ago
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share
maria [59]

Answer:

Yes, Noah did bring enough money.

Step-by-step explanation:

$100/8 student is $12.5, so each students admission costs $12.5 and Noah brough $13 so he will have 50 cents left after paying his entry fee

8 0
3 years ago
Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard devia
EleoNora [17]

Answer:

0.961

Step-by-step explanation:

To answer this, find the area under the standard normal curve to the left of 130 pounds:

Using the function normalcdf( on a TI calculator, we get:

normalcdf(-1000, 130, 100, 17) = 0.961

8 0
2 years ago
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